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Finding the Fourth Proportional to 313,796.24, 433,035.52 and 170,555.24

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Solution

The fourth proportional to 313,796.24, 433,035.52 and 170,555.24 is: 235,364.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,796.24 : 433,035.52 = 170,555.24 : x
  2. Step 2: Convert to fraction form
    313,796.24/433,035.52 = 170,555.24/x
  3. Step 3: Cross multiply
    313,796.24x = 433,035.52 × 170,555.24
  4. Step 4: Simplify right side
    313,796.24x = 73,856,475,262.50
  5. Step 5: Solve for x
    x = 73,856,475,262.50/313,796.24
  6. Step 6: Final answer
    x = 235,364.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.